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Finding the Third Proportional to 232,841.25 and 509,270.63

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Solution

The third proportional to 232,841.25 and 509,270.63 is: 1,113,877.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,841.25 : 509,270.63 = 509,270.63 : x
  2. Step 2: Convert to fraction form
    232,841.25/509,270.63 = 509,270.63/x
  3. Step 3: Cross multiply
    232,841.25x = 509,270.63 × 509,270.63
  4. Step 4: Simplify right side
    232,841.25x = 259,356,569,487.89
  5. Step 5: Solve for x
    x = 259,356,569,487.89/232,841.25
  6. Step 6: Final answer
    x = 1,113,877.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.